Before we learn anything first a game

To get from one shape to the next you have to “bridge” them by canceling out one shape to get to another

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Start

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You try

The cards can be flipped so the cards can be played like this

OR

They can also be used in more than one at a time

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You Try

You try (a little bit harder)

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Factor Label is just as easy and is about the most useful thing you will learn in class all year.

Factor label makes going from one unit to another EZ.

For example converting 120 ml/sec to gal/min

If you are planning to do math and science you WILL need to know how to do this.

Instead of shapes, we will be using CONVERSION FACTORS

They are played just like cards1 side of the equation is above the line and the other side is below it

1 ft

12 inor

1 ft

12 in

mass1 kg = 1000 g1 g = 1000 mg1 lb = 454 g

length1 km = 1000 m1 m = 100 cm1 m = 1000 mm1 mi = 5280 ft1 ft = 12 in1 mi = 1.61 km1 in = 2.54 cm

volume1 L = 1000 mL1 L = 1.057 qt1 gal = 4 qt

If I want to convert 3.5 feet into inches

3.5 ft

1

Start with what you are given

Put it over 1 because it makes us happy

Convert 3.5 feet into inches

3.5 ft

1

Instead of canceling shapes, we need to cancel UNITS

1 ft

12 inor

1 ft

12 in

Which way should the card be played?

If I want to convert 3.5 feet into inches

3.5 ft

1 1 ft

12 in

What this really means is

3.5 ft

1 1 ft

12 inx

Cancel out units, then multiply the numbers on top together and divide by the numbers on bottom

= 3.5 x 12 / 1 / 1 = 42 in

THE STEPS

1.) Write the given over 1. Convert: 3.6 g into lb (pounds)

EXAMPLE

3.6 g

1

2.) Make a multiplication sign and a line next to it

4.) Place the side of the equation on bottom that will cancel previous units.Put the other side on top.

454 g

1 lb

5.) Cancel units

6.) Continue until only the desired units are left.

3.) Look for an equation with the right units in it. Find a path to get to the desired units.

mass1 kg = 1000 g1 g = 1000 mg1 lb = 454 g

length1 km = 1000 m1 m = 100 cm1 m = 1000 mm1 mi = 5280 ft1 ft = 12 in1 mi = 1.61 km1 in = 2.54 cm

volume1 L = 1000 mL1 L = 1.057 qt1 gal = 4 qt

THE STEPS

7.) Multiply the numbers on top and divide by the numbers on bottom.

Convert: 3.6 g into lb (pounds)

EXAMPLE

3.6 g

1

454 g

1 lb

3.6 1

1 454

= .029 lb

(you can ignore the 1’s)

How many miles is 35 km?

mass1 kg = 1000 g1 g = 1000 mg1 lb = 454 g

length1 km = 1000 m1 m = 100 cm1 m = 1000 mm1 mi = 5280 ft1 ft = 12 in1 mi = 1.61 km1 in = 2.54 cm

volume1 L = 1000 mL1 L = 1.057 qt1 gal = 4 qt

Convert 21,900 in m

Follow the steps

21,900 in

1x

1 in

2.54cmx

1 m

100 cm

mass1 kg = 1000 g1 g = 1000 mg1 lb = 454 g

length1 km = 1000 m1 m = 100 cm1 m = 1000 mm1 mi = 5280 ft1 ft = 12 in1 mi = 1.61 km1 in = 2.54 cm

volume1 L = 1000 mL1 L = 1.057 qt1 gal = 4 qt

Convert: 1 year seconds

Convert: 5.5 L kL

mass1 kg = 1000 g1 g = 1000 mg1 lb = 454 g

length1 km = 1000 m1 m = 100 cm1 m = 1000 mm1 mi = 5280 ft1 ft = 12 in1 mi = 1.61 km1 in = 2.54 cm

volume1 L = 1000 mL1 L = 1.057 qt1 gal = 4 qt

Convert 910 kg/qt kg / gal

910 kg

1 qtx

4 qt

1 gal

mass1 kg = 1000 g1 g = 1000 mg1 lb = 454 g

length1 km = 1000 m1 m = 100 cm1 m = 1000 mm1 mi = 5280 ft1 ft = 12 in1 mi = 1.61 km1 in = 2.54 cm

volume1 L = 1000 mL1 L = 1.057 qt1 gal = 4 qt

Convert 7.8 lb/gal g/Lmass

1 kg = 1000 g1 g = 1000 mg1 lb = 454 g

length1 km = 1000 m1 m = 100 cm1 m = 1000 mm1 mi = 5280 ft1 ft = 12 in1 mi = 1.61 km1 in = 2.54 cm

volume1 L = 1000 mL1 L = 1.057 qt1 gal = 4 qt

Convert 1.5 gal / hour to L / second

Here is one that’s more funmass

1 kg = 1000 g1 g = 1000 mg1 lb = 454 g

length1 km = 1000 m1 m = 100 cm1 m = 1000 mm1 mi = 5280 ft1 ft = 12 in1 mi = 1.61 km1 in = 2.54 cm

volume1 L = 1000 mL1 L = 1.057 qt1 gal = 4 qt